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You are sitting in a cart at the top of hill on a roller coaster. You have 10500 J of GPE. If your current weight is 539 N, how tall is the hill you are sitting on?

User Millhorn
by
4.1k points

2 Answers

4 votes

Answer:

19.5

Step-by-step explanation:

User Alysha
by
5.3k points
4 votes

Answer:

h = 19.5 m

Step-by-step explanation:

Given data:

GPE = 10500 J

weight = 539 N

height = ?

Solution:

One newton = 0.101971621 Kg

539 N = 54.963 Kg

GPE = mgh

h = GPE / mg

h = 10500 Kg m². s⁻² / 54.963 Kg × 9.8 m/s²

h = 10500 m / 538.64

h = 19.5 m

User Kratos
by
4.2k points